INVERSE SPECTRAL TRANSFORM FOR THE (2 + 1)-DIMENSIONAL GARDNER EQUATION

被引:30
作者
KONOPELCHENKO, BG [1 ]
机构
[1] LOUGHBOROUGH UNIV TECHNOL,DEPT MATH SCI,LOUGHBOROUGH LE11 3TU,LEICS,ENGLAND
关键词
D O I
10.1088/0266-5611/7/5/007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The (2 + 1)-dimensional integrable generalization of the Gardner equation is solved by the inverse spectral transform method. Wide classes of exact solutions are constructed explicitly by the partial-dirivativeBAR-dressing method. They are the rational solutions, including the decaying and plane lumps, solutions with functional parameters and plane solitons.
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页码:739 / 753
页数:15
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